Question

Is it convergent? if so find its Sum. 1+3^n/2^n

Answer 1

not convergent

Answer 2

why?

Answer 3

its you can rewrite it as 1 + (3/2)^n

Answer 4

and (3/2) > 1 so its divergent

Answer 5

\[\sum_{n=1}^{\infty} ( 1+3^{n})/(2^n)\] is the proper problem the 1is attached to the 3^n

Answer 6

you can rewrite it as this:

(3/2)^n+2^(-n)

its this divergent because(3/2)>1 and if one of the 2 is divergent you dont have to calculate the other because it will be divergent

Answer 7

ok.
thanks